Question

Simplify the following expressions:
$(\sqrt{5}+\sqrt{2}{)}^2$

Answer 1

We need to simplify $(\sqrt{5}+\sqrt{2}{)}^2$

We know that $(a+b{)}^2=a^2+2ab+b^2$

$(\sqrt{5}+\sqrt{2}{)}^2$ $=(\sqrt{5}{)}^2+2\times \sqrt{5}\times \sqrt{2}+(\sqrt{2}{)}^2$

$=5+2\sqrt{10}+2$

$=7+2\sqrt{10}$